I use techniques from the theory of nonlinear dynamics in
computational studies of emergent complexity in physics.
Currently, I am interested in various problems that involve
fluids, such as low-Re turbulence, transition to turbulence, and
The videos below are examples from my recent research.
Pilot wave chaos and the underlying attractor,
revealed after symmetry-reduction.
Left: Simulated dynamics of a chaotic pilot-wave system.
Right: Underlying attractor revealed via symmetry reduction.
C: Circular equilibrium with positive angular momentum,
σ C: Circular equilibrium with negative angular momentum
(N. B. Budanur and M. Fleury, 2019,
Chaos,29, 013122). All rights reserved.
Transition to turbulence in
pipe flow captured on the unstable manifold of a traveling wave
Left: Motion on the unstable manifold.
Right: Flow structures during the transition to turbulence
(N. B. Budanur and B. Hof, 2018,
Phys. Rev. Fluids,3, 054401). All rights reserved.
Nonlinear Dynamics and Chaos (IST Austria, Fall 2017)
Starts on: 10-Oct-2017
Ends on: 25-Jan-2017
Topics: Introduction to dynamical systems,
Time-invariant sets and stability, Symmetries, Bifurcations,
Transition to chaos, Qualitative dynamics, and selected topics